Results 21 to 30 of about 230 (160)
$p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS
Forum of Mathematics, Pi, 2020 This paper completes the construction of $p$-adic $L$-functions for unitary groups. More precisely, in Harris, Li and Skinner [‘$p$-adic $L$-functions for unitary Shimura varieties. I. Construction of the Eisenstein measure’, Doc. Math.Extra Vol. (2006),
ELLEN EISCHEN +3 more
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Automorphic Forms: A Physicist's Survey [PDF]
, 2007 22 pages, to appear in the Proceedings of Les Houches Winter School ``Frontiers in Number Theory, Physics and Geometry'', March 9-21, 2003; v2: minor changes and clarifications, section 3.5 on pure spinors has been ...
Pioline, B., Waldron, A.
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Holomorphic Automorphic Forms and Cohomology [PDF]
Memoirs of the American Mathematical Society, 2018 We investigate the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least 2 2
Bruggeman, Roelof +2 more
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Automorphic Forms on Feit’s Hermitian Lattices [PDF]
Experimental Mathematics, 2019 We consider the genus of $20$ classes of unimodular Hermitian lattices of rank $12$ over the Eisenstein integers. This set is the domain for a certain space of algebraic modular forms. We find a basis of Hecke eigenforms, and guess global Arthur parameters for the associated automorphic representations, which recover the computed Hecke eigenvalues ...
Dummigan, N., Schönnenbeck, S.
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Decomposable forms and automorphisms
Journal of Number Theory, 2003 Let \(\mathcal{F}_{d}\) be the set of decomposable forms of degree \(d>0\) over an algebraically closed field \(K\) with variables in a \(K\)-vector space \(V\). Then \(\text{GL}(V) \) acts on \(\mathcal{F}_{d}\) via \(\gamma \cdot f=f\circ \gamma ^{-1}\), \(\gamma \in \text{GL}(V)\), \(f\in \mathcal{F}_{d}.\) For a given \(f\), \(\Aut(f) \) is defined
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International Journal of Mathematics and Mathematical Sciences, 2006 It is shown that the space of invariant trilinear forms on smooth representations of a semisimple Lie group is finite dimensional if the group is a product of hyperbolic groups.
Anton Deitmar
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Modular inflation observables and j-inflation phenomenology
Journal of High Energy Physics, 2017 Modular inflation is the restriction to two fields of automorphic inflation, a general group based framework for multifield scalar field theories with curved target spaces, which can be parametrized by the comoving curvature perturbation ℛ and the ...
Rolf Schimmrigk
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An Integral Representation of Standard Automorphic L Functions for Unitary Groups
International Journal of Mathematics and Mathematical Sciences, 2007 Let F be a number field, G a quasi-split unitary group of rank n. We show that given an irreducible cuspidal automorphic representation π of G(A), its (partial) L function LS(s,π,σ) can be represented by a Rankin-Selberg-type integral involving cusp ...
Yujun Qin
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InterCarto. InterGIS, 2017 The paper presents the method of identifying the most vulnerable territories under exogenous processes caused by aridification/humidification. It is based on the assumption that some forms and types of relief increase resistance of terrestrial ecosystems
D. A. Chupina +2 more
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On exotic matrix exponential sums and Bessel–Speh functions
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract In a previous work with Carmon, we defined Bessel–Speh functions. These are matrix coefficients of irreducible Speh representations of GLkc(F)$\mathrm{GL}_{kc}(\mathbb {F})$, where F$\mathbb {F}$ is a finite field. They arise from (k,c)$(k,c)$ models, which are models that generalize the Whittaker model to Speh representations attached to ...
Elad Zelingher
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